What is the Greatest Common Factor of 22775 and 22785?

Greatest common factor (GCF) of 22775 and 22785 is 5.

GCF(22775,22785) = 5

We will now calculate the prime factors of 22775 and 22785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22775 and 22785.

How to find the GCF of 22775 and 22785?

We will first find the prime factorization of 22775 and 22785. After we will calculate the factors of 22775 and 22785 and find the biggest common factor number .

Step-1: Prime Factorization of 22775

Prime factors of 22775 are 5, 911. Prime factorization of 22775 in exponential form is:

22775 = 5² × 911¹

Step-2: Prime Factorization of 22785

Prime factors of 22785 are 3, 5, 7, 31. Prime factorization of 22785 in exponential form is:

22785 = 3¹ × 5¹ × 7² × 31¹

Step-3: Factors of 22775

List of positive integer factors of 22775 that divides 22775 without a remainder.

1, 5, 25, 911, 4555

Step-4: Factors of 22785

List of positive integer factors of 22785 that divides 22775 without a remainder.

1, 3, 5, 7, 15, 21, 31, 35, 49, 93, 105, 147, 155, 217, 245, 465, 651, 735, 1085, 1519, 3255, 4557, 7595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22775 and 22785. The biggest common factor number is the GCF number.
So the greatest common factor 22775 and 22785 is 5.

Also check out the Least Common Multiple of 22775 and 22785